Answer: 2 times.
What is the volume, in cubic in, of a rectangular prism with a height of 19in, a width of 17in, and length of 18in?
1 answer:
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Answer:
a = 21
Step-by-step explanation:
If x = h is a zero of a polynomial then f(h) = 0, thus
p(- ) = 27( -
)³ - a(-
) - (-
) + 3 = 0, that is
27 (- ) -
a +
+ 3 = 0
- 1 - a +
= 0 ( multiply through by 9 to clear the fractions )
- 9 - a + 30 = 0
- a + 21 = 0 ( subtract 21 from both sides )
- a = - 21 ( multiply both sides by - 1 )
a = 21
Given:
To find:
The .
Solution:
In circle B, is central angle and
is inscribed angle from two points A and C.
According to central angle theorem, central angle is always twice of inscribed angle.
[Central angle theorem]
Divide both sides by 2.
Therefore, .
Answer:
b = 90
Step-by-step explanation:
Sum the interior angles of the pentagon and equate to 540
Starting from the top and going clockwise
b + b + 45 + 90 + 2b - 90 + b = 540 ← simplify left side
b + 45 = 540 ( multiply through by 2 to clear the fraction )
11b + 90 = 1080 ( subtract 90 from both sides )
11b = 990 ( divide both sides by 11 )
b = 90
Thus
b + 45 = 90 + 45 = 135
2b - 90 = 2(90) - 90 = 180 - 90 = 90
b =
× 90 = 135
The angle measure from the top clockwise are
90°, 135°, 90°, 90°, 135°